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54425546304 = 2632931315313
BaseRepresentation
bin110010101100000000…
…111110111001000000
312012111000021012212020
4302230000332321000
51342430414440204
641000332201440
73634500340053
oct625400767100
9165430235766
1054425546304
1121099890538
12a66b009280
1351948a878c
1428c43b8a9a
151638177bd9
hexcac03ee40

54425546304 has 112 divisors (see below), whose sum is σ = 153772331520. Its totient is φ = 16951173120.

The previous prime is 54425546281. The next prime is 54425546321. The reversal of 54425546304 is 40364552445.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14952 + ... + 330264.

Almost surely, 254425546304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54425546304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76886165760).

54425546304 is an abundant number, since it is smaller than the sum of its proper divisors (99346785216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54425546304 is a wasteful number, since it uses less digits than its factorization.

54425546304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315388 (or 315378 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 42.

The spelling of 54425546304 in words is "fifty-four billion, four hundred twenty-five million, five hundred forty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 32 48 58 62 64 87 93 96 116 124 174 186 192 232 248 348 372 464 496 696 744 899 928 992 1392 1488 1798 1856 1984 2697 2784 2976 3596 5394 5568 5952 7192 10788 14384 21576 28768 43152 57536 86304 172608 315313 630626 945939 1261252 1891878 2522504 3783756 5045008 7567512 9144077 9774703 10090016 15135024 18288154 19549406 20180032 27432231 29324109 30270048 36576308 39098812 54864462 58648218 60540096 73152616 78197624 109728924 117296436 146305232 156395248 219457848 234592872 283466387 292610464 312790496 438915696 469185744 566932774 585220928 625580992 850399161 877831392 938371488 1133865548 1700798322 1755662784 1876742976 2267731096 3401596644 4535462192 6803193288 9070924384 13606386576 18141848768 27212773152 54425546304